A person flying a kite has released 176 m of string. The string makes an angle of 27° with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest metre.

Q: A 15 foot ladder is leaning against the side of a building. The angle of elevation between the…

A: Here we will find height of side of building where ladder can reach,

Q: A 200-foot cliff drops vertically into the ocean. If the angle of elevation from a ship to the top…

A: Let the distance of the ship offshore is x feet. A rough sketch of given situation is shown below…

Q: A 300 meter cable wire is attached to the top of a tower from the ground. The angle of elevation to…

A:

Q: A surveyor starts at the edge of a lake, at point A, and measures a 90° angle between B and C, as…

A: Here we will find the length of the lake between A and C,

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

A:

Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

A:

Q: 4) The angle of elevation from a boat to the top of a 48-meter lighthouse is 25°. How far is the…

A: According to our terms and conditions I have solved first question for next question repost

Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 72°.…

A: perpendicular/hypotenuse=sin(angle)

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? 30°…

A:

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: A lamppost casts a shadow of 18 ft when the angle lamppost? Round to the nearest foot.

A: Explanation and solution is given below....

Q: 7) Find the height of a building that projects a shadow of 350 ft on the ground, if the angle of…

A: The height of the building that projects a shadow of 350 ft on the ground  and the angle of…

Q: A boat travels on a course bearing South 42 degrees East for 58 miles. How many miles south is the…

A:

Q: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40°…

A: We find out the angle of the elevation. Follow 2nd step.

Q: A 39-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A: To find the height

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: Kurt spots a bird sitting at the top of a 40ft tall telephone pole. If the angle of elevation from…

A: Let x be the distance between Kurt and base of the pole. Now the diagrammatic representation of the…

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

Q: A radio transmission tower is 130 feet tall. How long should a guy wire be if it is to be attached…

A:

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: From the top of a 72-m lighthouse, the angle of depression to a ship in the ocean is 21°. How far is…

A: Given the top of a 72 m and the angle of depression to a ship in the ocean is 21°. We have to find…

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Ladder = 18 ftangle , θ= 67°

Q: 1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A person standing 376 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: From the top of a lighthouse 18 m high, the angle of depression to sighta boat is 4°. What is the…

A: From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4°. Let the…

Q: A radio transmission tower is 567 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given: The height of the radio transmission tower is 567 feet. And attachment of guy wire is to be 6…

Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

A:

Q: A 109 ft. tree casts a shadow that is 130 ft. long. What is the angle of elevation of the sun? 60°…

A:

Q: A small plane takes off from an airport and begins to climb at a 10.08 angle of elevation at 5,000…

A:

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A:

Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun us 33.7 degrees. How high…

A: Sketch the situation roughly.Let the height of the lamp post is h ft

Q: A 88-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50∘angle with the ground. How far up the…

A:

Q: A person standing 241 feet from the base of a church observed the angle of elevation to the church's…

A: It is given that, A person standing 241 feet from the base of a church observed the angle of…

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

A:

Q: From his eye, which stands 162 meters above the ground, Almadou ie angle of elevation to the top of…

A: Using  Tan thita= perpendicular/base

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40° O…

A: According to the given problem, the represented diagram is as shown below; Let, the angle of…

Q: A radio transmission tower is 535 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given problem:- A radio transmission tower is 535 feet tall. A guy wire is to be attached 6 feet…

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.